31113220321200 has 240 divisors, whose sum is σ = 99789806642816. Its totient is φ = 8286560409600.

The previous prime is 31113220321171. The next prime is 31113220321201. The reversal of 31113220321200 is 212302231113.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (31113220321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5123201364 + ... + 5123207436.

Almost surely, 2^{31113220321200} is an apocalyptic number.

31113220321200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113220321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49894903321408).

31113220321200 is an abundant number, since it is smaller than the sum of its proper divisors (68676586321616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31113220321200 is a wasteful number, since it uses less digits than its factorization.

31113220321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31113220321200 its reverse (212302231113), we get a palindrome (31325522552313).

The spelling of 31113220321200 in words is "thirty-one trillion, one hundred thirteen billion, two hundred twenty million, three hundred twenty-one thousand, two hundred".